Shapley Allocation — the effect of Services on Diversification

URL des Documents de travail : http://ces.univ-paris1.fr/cesdp/cesdp2015.htmlDocuments de travail du Centre d'Economie de la Sorbonne 2015.57 - ISSN : 1955-611X<br>A paraître dans Journal of Business and EconomicsThe Shapley method is applied to capital allocation in the context of a simple business model, where many business units supported by services. In this model the services are capable of either reducing the capital payable by the business units, or the opposite. A simple model of evaluating the value of coalitions is proposed, with a modification if a service is a member of the coalition. A closed form formula for the Shapley allocation to all players is derived, thus eliminating combinatorial problems